用分部积分法求定积分:(∫上1下0)x^2 e^x dx

2024-12-04 01:46:23
推荐回答(2个)
回答1:

(∫上1下0)x^2 e^x dx=(x²-2x+2)e^x在[0,1]的端点值差=e-2

(用两次分部积分法降低被积函数中x的次数。)

回答2:

1/3∫(0-1)e^xd(X^3)
=1/3[x^3e^x(0-1)+∫(0-1)e^xdX^3
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